As you said that antenna won't pick up your channel 2 NBC, but will get you 13 CBS and 25 PBS. I don't think you'd need an amp unless you are going to run over 100 feet of cable and split it to lots of TVs.
The trees may be an issue as you would need to point the antenna almost due north. If you could put it in a different location or up higher to get around or over the trees it would help.
$60 new in box is not a bad deal.
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